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288688080 = 24351202867
BaseRepresentation
bin10001001101010…
…000011111010000
3202010012212121010
4101031100133100
51042401004310
644351330520
710103544132
oct2115203720
9663185533
10288688080
11138a5869a
1280820a40
1347a6a065
142a4ab052
151a527320
hex113507d0

288688080 has 40 divisors (see below), whose sum is σ = 894933792. Its totient is φ = 76983424.

The previous prime is 288688079. The next prime is 288688129. The reversal of 288688080 is 80886882.

288688080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601194 + ... + 601673.

Almost surely, 2288688080 is an apocalyptic number.

288688080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288688080 is an abundant number, since it is smaller than the sum of its proper divisors (606245712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288688080 is a wasteful number, since it uses less digits than its factorization.

288688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202883 (or 1202877 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 288688080 is about 16990.8234055916. The cubic root of 288688080 is about 660.9109551288.

The spelling of 288688080 in words is "two hundred eighty-eight million, six hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1202867 2405734 3608601 4811468 6014335 7217202 9622936 12028670 14434404 18043005 19245872 24057340 28868808 36086010 48114680 57737616 72172020 96229360 144344040 288688080